Dynkin diagram strategy for orbifolding with Wilson lines

Abstract

A simple method for breaking gauge groups by orbifolding is presented. We extend the method of Kac and Peterson to include Wilson lines. The complete classification of the gauge group breaking, e.g. from heterotic string, is now possible. From this Dynkin diagram technique, one can easily visualize the origin and the symmetry pattern of the surviving gauge group.

arXiv commentLaTeX file of 20 pages, including 3 figures. To appear in Nucl.Phys.B

References in corpus (6)

• Triplet-doublet Splitting, Proton Stability and Extra Dimension
• Gauge Symmetry Reduction from the Extra Space $S^1/Z_2$
• Completion of standard-like embeddings
• Spectra in Standard-like Z_3 Orbifold Models
• Family Unification in Five and Six Dimensions
• Orbifolded SU(7) and unification of families

Cited by in corpus (24)

• Flipped SU(5) from Z_{12-I} orbifold with Wilson line
• Heterotic Brane World
• Dual Models of Gauge Unification in Various Dimensions
• Group-Theoretical Aspects of Orbifold and Conifold GUTs
• Towards Low Energy Physics from the Heterotic String
• Heterotic SO(32) model building in four dimensions
• SU(3) x SU(2) x U(1) Vacua in F-Theory
• Three family $Z_3$ orbifold trinification, MSSM and doublet-triplet splitting problem
• Grand Unification in the Heterotic Brane World
• Anomalies on Six Dimensional Orbifolds
• The Higgs Mechanism in Heterotic Orbifolds
• Extended Gauge Symmetries in F-theory
• Supersymmetric three family chiral SU(6) grand unification model from F-theory
• Weierstrass meets Enriques
• Gauge Unification via Stable Brane Recombination
• Spectra of Heterotic Strings on Orbifolds
• SU(3) trits of orbifolded E_8 x E_8' heterotic string and supersymmetric standard model
• Higgsino mass matrix ansatz for MSSM
• Hidden Borcherds symmetries in Z_n orbifolds of M-theory and magnetized D-branes in type 0' orientifolds
• Transitions of Orbifold Vacua
• $Z_7$ Orbifold Models in M-Theory
• Calabi-Yau compactifications of non-supersymmetric heterotic string theory
• The Half-Integer Charged Particles of the Orbifold Models
• String Embeddings of the Pentagon